On Koebe radius and coefficients estimate for univalent harmonic mappings
Complex Variables
2025-05-06 v2
Abstract
The problem on estimate of the Koebe radius for univalent harmonic mappings of the unit disk is considered. For a subclass of harmonic mappings with the standard normalization and a certain growth estimate for analytic dilatation, we provide new estimate for the Koebe radius. New estimate for Taylor coefficients of the holomorphic part of a function from the subclass under consideration is obtained as a corollary.
Cite
@article{arxiv.2403.05526,
title = {On Koebe radius and coefficients estimate for univalent harmonic mappings},
author = {Mikhail Borovikov},
journal= {arXiv preprint arXiv:2403.05526},
year = {2025}
}